Expressing Citifile Data In Other Data Formats - HP 8719ET Reference Manual

Understanding the CITIfile Data Format
Useful Calculations
Expressing CITIfile Data in Other Data Formats
CITIfile data is represented in real and imaginary pairs. Equations can be used to express
this information in logarithmic magnitude, phase, polar, and Smith chart formats. Refer to
the following table for these equations.
Desired Format
Mathematical Equation
Log Magnitude
20*Log10((Re2 + Im2)) 1/2
Phase tan-1(Im/Re) or arctan (Im/Re)
Polar
Magnitude = ((Re2 + Im2)) 1/2
Phase = tan-1(Im/Re) or
arctan (Im/Re)
Smith Chart Resistance =
(Marker)
(1 - Re2-Im2) /
((1 -Re) 2+Im2)) * Z0
Reactance =
(2*Im) /
((1 - Re) 2+Im2)) * Z0
a.
Re = real. Im = imaginary.
b.
The references to ReCell 1, ImCell 1, and Z Cell 1 refer to the real and imaginary data pair numeric values
that have been entered into specific cells in the Microsoft Excel spread sheet.
9-14
a
Microsoft Excel Command
=20*LOG10(SQRT((SUMSQ(ReCell 1,Im Cell 1)))) (dB)
ATAN2(ReCell 1, ImCell 1)*180/PI() (Degree)
Magnitude = (SQRT((SUMSQ(ReCell 1,Im Cell 1)))
Phase = ATAN2(ReCell 1, ImCell 1)*180/PI()
Resistance =
((1-POWER(ReCell 1,2)-POWER(ImCell 1,2)) /
(POWER((1- ReCell 1),2)+POWER(ImCell 1,2))) * Z Cell 1
Reactance =
(2*ImCell 1) /
(POWER((1- ReCell 1),2)+POWER(ImCell 1,2)))*Z Cell 1
b